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katrin [286]
3 years ago
10

The amount of garbage, G, in tons per week, produced by a city with population p, measured in thousands of people, is given by G

= f ( p ) The town of Tola has a population of 40,000 and produces 12 tons of garbage each week. Express this information in terms of the function f. Write your answer as an equation involving the function f.
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer:

12 = f(40)

Step-by-step explanation:

From the given information:

We are being told that:

G = tons per week

p = people in thousands

However, the relation existing between the amount of garbage that is produced by a city with population p can be expressed as:

G = f(p)

Similarly, they said there exists a total population of 40000 persons in the town of Tola. i.e. 40 thousand and also 12 tons of garbage is produced by week i.e. that will be the value for G.

Then, we have:

12 = f(40)

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Write a linear equation given the point and slope or two points.
attashe74 [19]

Answer:

1) y = -2x - 1

2) y = -3/4 + 3

3) y = 4x + 9

4) y = - 5/3x - 2

Step-by-step explanation:

b = y - m*x

1) (-7,13) and slope: -2

b = 13 - (-2)*(-7)

b = 13 - 14

b = -1

2) (4,6) lope = -3/4

b = 6 - (-3/4)*(-4)

b = 6 - 3

b = 3

y = -3/4x + 3

3) (-5,-11) and (3,-7)

Slope: (1 - - 11)/(-2 - - 5) = 12/3

= 4

b = -11 - (4) (-5) = 9

b = 9

4) slope = (-7 - 8)/(3- - 6)

= -15/9 = - 5/3

b = 8 - (-5/3)*(-6)

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5 0
2 years ago
According to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation, there were over 71 million wildif
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Answer:

The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.

Step-by-step explanation:

We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.

If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.

The standard deviation of the sample is equal to:

\sigma_s=\sqrt{\frac{\pi(1-\pi)}{N}}=\sqrt{\frac{0.8*0.2}{500}}=0.018

With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:

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Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is:

P(0.79

3 0
3 years ago
A number multiplied by 12 is equal to the sum of the square root of that same number and 36. What is that number?
Pavlova-9 [17]

Answer:

3.15

Step-by-step explanation:

Let the unknown number be n.

Then 12n = √n + 36

We must eliminate the √ operator.  One way to do this is to replace √n temporarily with x.  Then 12n = 12x^2, and we have 12x^2 - x - 36 = 0.  This is a quadratic with a= 12, b= -1 and c = -36

Solving for x using the quadratic formula:

       1 plus or minus √(1 - 4(12)(-36)

x = ----------------------------------------------

                        2(12)

      1 plus or minus √1729

x = -----------------------------------

                        24

       1 plus or minus 41.58

x = -----------------------------------

                    24

Since x = √n, n must be a positive number.  Thus,

       1 + 41.58

x = ---------------- = 1.77

            24

If x = 1.77 = √n, then n = 1.77^2 = 3.15.

Check:  Is this true?  A number multiplied by 12 is equal to the sum of the square root of that same number and 36.

12(3.15) = √3.15 + 36, or

 37.8    =  1.77 + 36  = 37.77     This checks out.

The number is 3.15

7 0
3 years ago
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